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16 Aug 2021, 07:15
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
74% (02:13) correct
26%
(02:47)
wrong
based on 62
sessions
History
Date
Time
Result
Not Attempted Yet
In a coconut grove, (x + 2) trees yield 60 nuts per year, x trees yield 120 nuts per year, and (x − 2) trees yield 180 nuts per year. If the average yield per year per tree be 100, what is the value of x?
(A) 10
(B) 8
(C) 6
(D) 4
(E) 2
(A) 10
(B) 8
(C) 6
(D) 4
(E) 2
16 Aug 2021, 11:15
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Average = \(\frac{total nuts yield }{ total tree}\)
=> \(\frac{[((x+2)*60) + (x*120) + ((x-2)*180)]}{[(x+2)+x+(x-2)]}\) = 100
=> \(\frac{(360 x - 240)}{3x} = 100\)
=> 120 x - 80 = 100x
=> x = 4
OA should be D
=> \(\frac{[((x+2)*60) + (x*120) + ((x-2)*180)]}{[(x+2)+x+(x-2)]}\) = 100
=> \(\frac{(360 x - 240)}{3x} = 100\)
=> 120 x - 80 = 100x
=> x = 4
OA should be D
18 Aug 2021, 03:32
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Few questions:
In a coconut grove, (x + 2) trees yield 60 nuts per year, x trees yield 120 nuts per year, and (x − 2) trees yield 180 nuts per year. If the average yield per year per tree be 100, what is the value of x?
1. The question does not mention that each tree yields (60, 120 or 180) nuts. It mentions that (say) X+2 trees yield 60 nuts. How are we saying it is 60 nuts per tree in a total of x+2 trees?
2. The avg mentioned is per year per tree, again this doesnt account for (say) X+2 trees, but 1 tree out of x+2
Am i reading too much into the question or is it ambiguous?
In a coconut grove, (x + 2) trees yield 60 nuts per year, x trees yield 120 nuts per year, and (x − 2) trees yield 180 nuts per year. If the average yield per year per tree be 100, what is the value of x?
1. The question does not mention that each tree yields (60, 120 or 180) nuts. It mentions that (say) X+2 trees yield 60 nuts. How are we saying it is 60 nuts per tree in a total of x+2 trees?
2. The avg mentioned is per year per tree, again this doesnt account for (say) X+2 trees, but 1 tree out of x+2
Am i reading too much into the question or is it ambiguous?
